Page 1: Quadratic Function Problems and Solutions

This page presents a collection of funkcja kwadratowa zadania (quadratic function problems) from past Polish matura exams, focusing on key concepts and problem-solving techniques.

Example: The first problem asks to identify the vertex of the parabola y = -3x² + 3, with options including (3,0), (0,3), $-3,0$, and $0,-3$.

The page covers various aspects of quadratic functions, including:

1. Identifying the vertex of a parabola
2. Determining the equation of a line containing the vertex
3. Analyzing the range of a quadratic function
4. Graphing quadratic functions

Highlight: The problems progress in complexity, starting with basic vertex identification and moving to more advanced concepts like function composition and range analysis.

Vocabulary:

• Wierzchołek paraboli: Vertex of the parabola
• Zbiór wartości funkcji: Range of the function

The page also includes visual representations of quadratic function graphs, helping students connect algebraic expressions with their geometric counterparts.

Definition: The vertex form of a quadratic function is f$x$ = a$x-h$² + k, where (h,k) represents the coordinates of the vertex.

By working through these funkcja kwadratowa zadania poziom podstawowy pdf problems, students can improve their understanding of quadratic functions and prepare for similar questions on the matura exam.